UI: rebuild the frames to the 2.22 ASCII - no date/event overlap, no NEW on Timeline, Note as note buttonsmain

Calendar month (screen 3 ASCII): the day cell no longer draws an event bar. The
ASCII shows only "15 16 17 [18] 19 20 21 <-today" plus the note "point = event",
and the bar I had added was what collided with the date. The cell is now date +
selection/today fill + one small dot, and today and selected are passed in
rather than guessed per cell.

Calendar day (screen 4 ASCII): back to the specified frame - a time column
(850/940/1030/1120/1215/1310) with a rule per slot and that slot's items to the
right, timetable and auto-source mixed on the same axis. I had replaced this with
a Google-style free-floating hour grid, which is not what the design draws. The
header takes a list of dates, so single-day and multi-day both work, and the
weekday is shown next to the date.

Note (screen 5, and 2.6): Note is the list of notes, filtered by the content
kind - "全部/課題/文書/成果物" - with the notes themselves as full-row buttons
(探究ノート, 数学プリント, 班レポート, 発表スライド) and a bordered entry for
the unsubmitted view. The explanatory line ("残るもの") is gone; it told the
reader nothing. Per 2.6 a note is a set of cards, so tasks/documents/artefacts
are not sibling entries beside notes - they are what the notes contain, which is
what the filter selects between.

Timeline (screen 2): rows are separated by rules again (they were missing), and
the NEW badge is gone - the ASCII has no badge there (only Home's timeline digest
carries [NEW], which is left as is).

Live (screen 6): section headings plus full-row buttons, with the teacher-only
start action as a filled button. Dropped the descriptive subtitle.

Home: unchanged in substance - the five ASCII blocks stay, since Home is the
navigational hub and is meant to be the fullest frame.

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