chore: update dependency @docsearch/js to v3.8.2 #11039

Job	Run time
Build demo	1m 10s
Cypress / Component Testing	4m 47s
Playwright / macos-latest / 1 of 9	7m 37s
Playwright / macos-latest / 2 of 9	6m 59s
Playwright / macos-latest / 3 of 9	24m 32s
Playwright / macos-latest / 4 of 9	10m 2s
Playwright / macos-latest / 5 of 9	10m 35s
Playwright / macos-latest / 6 of 9	10m 33s
Playwright / macos-latest / 7 of 9	6m 57s
Playwright / macos-latest / 8 of 9	7m 16s
Playwright / macos-latest / 9 of 9	7m 56s
Playwright / ubuntu-latest / 1 of 9	5m 32s
Playwright / ubuntu-latest / 2 of 9	5m 53s
Playwright / ubuntu-latest / 3 of 9	18m 23s
Playwright / ubuntu-latest / 4 of 9	6m 26s
Playwright / ubuntu-latest / 5 of 9	7m 45s
Playwright / ubuntu-latest / 6 of 9	6m 0s
Playwright / ubuntu-latest / 7 of 9	5m 56s
Playwright / ubuntu-latest / 8 of 9	5m 17s
Playwright / ubuntu-latest / 9 of 9	5m 36s
Playwright E2E Tests matrix result	1s
E2E result	1m 13s
	2h 46m 26s

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