fix: disable favorite toggle during sort mode and fix drag rebound issue

[rowanchen-com]

What this PR does / why we need it?

Fix two issues with the installed app sorting feature added in #11936:

1. Toggling favorite during sort mode triggers backend sort_order recalculation and search() reload, which resets the drag-sorted order and breaks the Sortable fence logic.
2. Dragging cards occasionally "rebounds" back to their original position due to Sortable.js and Vue both manipulating the DOM simultaneously.

Summary of your change

Disable favorite during sort mode (3 files, 6 changes):

• index.vue: Pass sortMode prop to AppCard
• card.vue: Add sortMode prop, pass it to AppHeader
• header.vue: Add sortMode prop, set :disabled="sortMode" on both StarFilled and Star favorite buttons

Fix drag rebound (1 file, 3 lines):

• index.vue: In onEnd callback, revert Sortable's DOM manipulation before updating data.value, so Vue is the sole DOM owner and diff/patch works correctly

Files changed: 3 (frontend only)

Please indicate you've done the following:

• Made sure tests are passing and test coverage is added if needed.
• Made sure commit message follow the rule of Conventional Commits specification.
• Considered the docs impact and opened a new docs issue or PR with docs changes if needed.

[f2c-ci-robot]

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[rowanchen-com]

fix: prevent app icon from being squished in detail drawer