diff --git a/web/src/telegram/backbutton.ts b/web/src/telegram/backbutton.ts
new file mode 100644
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+++ b/web/src/telegram/backbutton.ts
@@ -0,0 +1,20 @@
+/*
+ * backbutton.ts — D-10 / UI-SPEC §BackButton Interaction Contract.
+ * ---------------------------------------------------------------
+ * Phase 3 has exactly ONE shell state (the map) — nothing to pop out
+ * of, so the button hides immediately at init. If a click ever arrives
+ * anyway, the handler is a TOTAL function: with no overlay it performs
+ * Telegram's own root semantics — `WebApp.close()`. An empty / no-op
+ * handler is forbidden (no dead-ends); the copy-gate test greps for
+ * `close()` in this file. Phase 6 extends this wire into the full
+ * state graph rather than inventing wiring.
+ */
+import type { TelegramWebAppLike } from "./webapp.ts";
+
+export function wireBackButton(wa: TelegramWebAppLike, hasOverlay: () => boolean): void {
+  wa.BackButton?.hide(); // Phase 3 has ONE shell state (the map) — nothing to pop out of
+  wa.BackButton?.onClick(() => {
+    if (hasOverlay()) return;
+    wa.close(); // Telegram semantics: back at the root closes the app
+  });
+}
diff --git a/web/src/telegram/safe-area.ts b/web/src/telegram/safe-area.ts
new file mode 100644
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+++ b/web/src/telegram/safe-area.ts
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+/*
+ * safe-area.ts — PX-03 groundwork: env()-union-Telegram and apply the max
+ * per edge (UI-SPEC §Safe-Area Handling).
+ * -------------------------------------------------------------------
+ * The Rams shell reads BOTH sources — CSS `env(safe-area-inset-*)`
+ * probed via a hidden padding element, and (when the client reports a
+ * version ≥ 8.0) WebApp.safeAreaInset — and takes the LARGER per edge,
+ * so the layout is safe under whichever bar/regime is really present.
+ * Old clients and every Desktop/plain-browser case fall back to pure
+ * env(), which resolves 0 there — layout unchanged (D-11 harness
+ * asserts this). Insets are applied as CSS custom properties on
+ * :root (mirroring the D-04 slot pattern — signal in, token out).
+ */
+import type { TelegramWebAppLike } from "./webapp.ts";
+
+export interface SafeInsets {
+  top: number;
+  bottom: number;
+  left: number;
+  right: number;
+}
+
+function envInsets(): SafeInsets {
+  const read = (v: string): number => {
+    const probe = document.createElement("div");
+    probe.style.cssText = `position:absolute;visibility:hidden;padding-${v}:env(safe-area-inset-${v},0px)`;
+    document.body.appendChild(probe);
+    const px = parseFloat(getComputedStyle(probe).getPropertyValue(`padding-${v}`)) || 0;
+    probe.remove();
+    return px;
+  };
+  return { top: read("top"), bottom: read("bottom"), left: read("left"), right: read("right") };
+}
+
+export function resolveSafeInsets(wa: TelegramWebAppLike | null): SafeInsets {
+  const base = envInsets();
+  // Version-gated union: safeAreaInset landed with Bot API 8.0, same floor
+  // as LocationManager. wa === null (plain browser) reads pure env().
+  const tg =
+    wa && typeof wa.isVersionAtLeast === "function" && wa.isVersionAtLeast("8.0")
+      ? wa.safeAreaInset
+      : null;
+  if (!tg) return base; // old-client fallback = pure env()
+  return {
+    top: Math.max(base.top, tg.top ?? 0),
+    bottom: Math.max(base.bottom, tg.bottom ?? 0),
+    left: Math.max(base.left, tg.left ?? 0),
+    right: Math.max(base.right, tg.right ?? 0),
+  };
+}
+
+export function applySafeArea(insets: SafeInsets): void {
+  const root = document.documentElement.style;
+  root.setProperty("--safe-top", `${insets.top}px`);
+  root.setProperty("--safe-bottom", `${insets.bottom}px`);
+  root.setProperty("--safe-left", `${insets.left}px`);
+  root.setProperty("--safe-right", `${insets.right}px`);
+}
diff --git a/web/src/telegram/theme.ts b/web/src/telegram/theme.ts
new file mode 100644
index 0000000..7ad4cde
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+++ b/web/src/telegram/theme.ts
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+/*
+ * theme.ts — PX-02: the Telegram theme signal → data-tg-theme slot switch.
+ * ---------------------------------------------------------------------
+ * Light/dark is a SLOT SWITCH, not a color import: Telegram's signals
+ * (`colorScheme`, or the luminance of `themeParams.header_bg_color` as
+ * the old-client fallback) select between two Rams token pairs defined
+ * in theme.css (`--shell-bg` / `--shell-on-surface`). Telegram's own hex
+ * values are read ONLY as a 0–1 luminance signal (T-03-11) — no
+ * Telegram color ever reaches a CSS custom property.
+ *
+ * Pitfall 7 (D-10): applyTheme's ONLY statement is the data-attribute
+ * set. MapLibre is deliberately absent — the map style is never re-set
+ * on themeChanged; CSS custom properties re-slot and the map stays
+ * Rams-constant. The invariant is greppable (theme.test.mjs asserts no
+ * setStyle call exists in this source).
+ */
+import type { TelegramWebAppLike } from "./webapp.ts";
+
+type ThemeBranch = "light" | "dark";
+
+export function resolveBranch(wa: TelegramWebAppLike): ThemeBranch {
+  // Primary signal — present on all clients this phase targets.
+  if (wa.colorScheme === "dark" || wa.colorScheme === "light") return wa.colorScheme;
+
+  // Fallback (UI-SPEC §Theme mapping): luminance of header_bg_color ≥ 0.5 → light.
+  const hex = wa.themeParams?.header_bg_color;
+  if (typeof hex === "string" && /^#[0-9a-f]{6}$/i.test(hex)) {
+    const r = parseInt(hex.slice(1, 3), 16);
+    const g = parseInt(hex.slice(3, 5), 16);
+    const b = parseInt(hex.slice(5, 7), 16);
+    const lum = (0.2126 * r + 0.7152 * g + 0.0722 * b) / 255;
+    return lum >= 0.5 ? "light" : "dark";
+  }
+  return "light";
+}
+
+export function applyTheme(wa: TelegramWebAppLike): void {
+  // The ONLY statement a theme change is allowed to touch. MapLibre is
+  // deliberately absent from this function (D-10 / RESEARCH Pitfall 7).
+  document.documentElement.dataset.tgTheme = resolveBranch(wa);
+}
+
+export function watchTheme(wa: TelegramWebAppLike): void {
+  applyTheme(wa);
+  wa.onEvent?.("themeChanged", () => applyTheme(wa));
+}