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feat: eagerly expose in-page tools to browser agents (#376) #1370

Job	Run time
runtime (deno)	48s
e2e	3m 24s
runtime (bun)	57s
unit-test / lint	4m 20s
unit-test / test (ubuntu-latest, 24)	2m 56s
unit-test / test (ubuntu-latest, 26)	2m 53s
unit-test / test (ubuntu-latest, 22)	2m 15s
unit-test / test (windows-latest, 24)	4m 44s
unit-test / test (windows-latest, 26)	5m 6s
unit-test / test (windows-latest, 22)	6m 31s
	33m 54s