Fix: Keep cursor in search box after applying filter #2634

Job	Run time
NodeJS for prerender	1m 21s
CSS for HTML themes	55s
Julia 1.6 - ubuntu-latest - x64	4m 32s
Documentation: html	1m 0s
Julia 1.6 - macos-latest - x64	7m 25s
PDF/LaTeX backend	3m 38s
Documentation: pdf	2m 48s
Julia 1.6 - windows-latest - x64	14m 8s
Linkcheck: online tests	2m 6s
Julia 1 - ubuntu-latest - x64	4m 8s
Julia 1 - macos-latest - x64	7m 29s
Linkcheck: Documenter manual	7m 30s
Julia 1 - windows-latest - x64	6m 28s
Prettier (JS code formatting)	7s
Julia nightly - ubuntu-latest - x64	4m 11s
Runic (Julia code formatting)	34s
Spell Check with Typos	8s
Julia nightly - macos-latest - x64	7m 58s
Julia nightly - windows-latest - x64	6m 33s
Julia 1 - ubuntu-latest - x86	5m 28s
	1h 28m 27s

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