Mobile declutter pass: step flows, compact cards, simplified settings

Phones only (<=639px); desktop markup is untouched.

- New deck is a 3-step flow: progress (1/3 + bar) and a fixed Back/Next
  bar above the tab bar. Step 1 = Add photos or files / Camera / Paste
  text instead (no drop zone or paste copy on touch), step 2 = folder,
  difficulty and count with defaults plus one collapsed focus/notes row,
  step 3 = one summary line (photos/docs/text · difficulty · count ·
  folder) with Freeze. Going Back keeps every input; step transitions
  respect prefers-reduced-motion.
- Make my homework is a 2-step flow sharing the same pattern; tapping a
  mode card starts it (no separate CTA on phones), with a short preview
  of the assignment on step 2. The hero is now 'Make my homework' /
  'Udělej mi úkol' everywhere ('Solve your homework' is gone) and the
  intro is one line.
- Library: stats line removed, folder row and 'Unorganized' heading
  hidden until folders exist (New folder lives in the drawer), Import is
  a small icon button beside the tabs. Deck and homework cards are
  compact on phones: title, one meta line (activities · difficulty ·
  best), a one-line description that expands on tap, the whole card
  tappable and a small Study/Open pill instead of the full-width button.
- Settings sheet on phones: no .env.local subtitle; Language stays first;
  one Connection card (status dot + 'Connected · 2 models ready', key
  field with the eye inside, Save only when edited, auto re-check on
  save, refresh icon instead of Test connection); privacy one-liner with
  a More expander (daemon tip inside); raw health rows behind one
  collapsed Details list; Remove key as a small danger button at the very
  bottom (same confirmation).
- Decorative orbs on phones moved further off the screen edges so they
  never glow under cards or primary buttons.
- Shared markup for folder/difficulty/count and mode cards keeps one
  source of state; new lib/use-phone.ts gates the layouts.

Verified: new declutter suite 116/116 (360 + 390, EN + CS, photo + PDF +
pasted text, Back keeps input, summaries, settings flow), regression
74/74, mobile 52/52, i18n 25/25. Lint + build clean. SW freezmo-v20.

components/homework/HomeworkScreen.tsx

@@ -58,7 +58,7 @@ export function HomeworkScreen({ initialRecordId }: { initialRecordId?: string }
   }, [initialRecordId]);
 
   /** Everything the API needs, built from the current input. */
-  const buildPayload = () => {
+  const buildPayload = (modeValue: HomeworkMode) => {
     const readyDocuments = intake.documents.filter((entry) => entry.status === "ready" && entry.extracted);
     const documentImages = readyDocuments.flatMap((entry) => entry.extracted!.images);
     const documentText = documentsToText(readyDocuments.map((entry) => entry.extracted!));
@@ -67,7 +67,7 @@ export function HomeworkScreen({ initialRecordId }: { initialRecordId?: string }
       ...intake.images.map((image) => image.dataUrl),
       ...documentImages.map((image) => image.dataUrl),
     ].slice(0, MAX_IMAGES_TO_SEND);
-    return { mode, images, text: mergedText };
+    return { mode: modeValue, images, text: mergedText };
   };
 
   const run = useCallback(
@@ -138,8 +138,9 @@ export function HomeworkScreen({ initialRecordId }: { initialRecordId?: string }
     [t],
   );
 
-  const submit = () => {
-    const payload = buildPayload();
+  /** `modeOverride` lets the phone flow start straight from a tapped mode card. */
+  const submit = (modeOverride?: HomeworkMode) => {
+    const payload = buildPayload(modeOverride ?? mode);
     void run(payload);
   };