Fix: Keep cursor in search box after applying filter #2633

Job	Run time
Julia 1.6 - ubuntu-latest - x64	3m 35s
Documentation: html	58s
Julia 1.6 - macos-latest - x64	8m 7s
Documentation: pdf	2m 40s
Julia 1.6 - windows-latest - x64	16m 59s
Julia 1 - ubuntu-latest - x64	3m 53s
Julia 1 - macos-latest - x64	7m 26s
PDF/LaTeX backend	3m 56s
Linkcheck: online tests	2m 9s
Julia 1 - windows-latest - x64	6m 25s
Julia nightly - ubuntu-latest - x64	4m 49s
Linkcheck: Documenter manual	7m 2s
NodeJS for prerender	1m 15s
Julia nightly - macos-latest - x64	9m 0s
Runic (Julia code formatting)	25s
Prettier (JS code formatting)	7s
Julia nightly - windows-latest - x64	6m 41s
Julia 1 - ubuntu-latest - x86	5m 12s
CSS for HTML themes	43s
Spell Check with Typos	7s
	1h 31m 29s

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