Add support for `AbortSignal` to all API methods #607

Job	Run time
build (20.x)	4s
test (node, 18.x)	24s
test (node, 20.x)	21s
test (node, 22.x)	22s
integration-edge (cloudflare-worker, 20.x)	14s
integration-deno (deno, v1.x)	9s
integration-browser (browser, chromium, 20.x)	42s
integration-bun (bun, 1.0.11)	10s
integration-browser (browser, firefox, 20.x)	33s
integration-nextjs (nextjs, 20.x)	27s
integration-browser (browser, webkit, 20.x)	1m 40s
integration-node (commonjs, 18.x)	10s
integration-node (commonjs, 20.x)	11s
integration-node (esm, 18.x)	7s
integration-node (esm, 20.x)	10s
integration-node (typescript, 18.x)	9s
integration-node (typescript, 20.x)	12s
	6m 5s

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