chore: update dependency @docsearch/js to v3.8.2 #11034

Job	Run time
Cypress / Component Testing	5m 15s
Build demo	5m 22s
Playwright / macos-latest / 1 of 9	7m 23s
Playwright / macos-latest / 2 of 9	8m 34s
Playwright / macos-latest / 3 of 9	28m 30s
Playwright / macos-latest / 4 of 9	9m 17s
Playwright / macos-latest / 5 of 9	9m 6s
Playwright / macos-latest / 6 of 9	9m 28s
Playwright / macos-latest / 7 of 9	7m 20s
Playwright / macos-latest / 8 of 9	7m 50s
Playwright / macos-latest / 9 of 9	8m 11s
Playwright / ubuntu-latest / 1 of 9	4m 49s
Playwright / ubuntu-latest / 2 of 9	6m 16s
Playwright / ubuntu-latest / 3 of 9	17m 11s
Playwright / ubuntu-latest / 4 of 9	6m 43s
Playwright / ubuntu-latest / 5 of 9	7m 29s
Playwright / ubuntu-latest / 6 of 9	6m 4s
Playwright / ubuntu-latest / 7 of 9	5m 47s
Playwright / ubuntu-latest / 8 of 9	5m 35s
Playwright / ubuntu-latest / 9 of 9	5m 33s
Playwright E2E Tests matrix result	1s
E2E result	1m 12s
	2h 52m 56s

Provide feedback