Add support for `AbortSignal` to all API methods #600

Job	Run time
test (node, 18.x)	23s
build (20.x)	6s
test (node, 20.x)	22s
test (node, 22.x)	23s
integration-bun (bun, 1.0.11)	19s
integration-deno (deno, v1.x)	10s
integration-browser (browser, chromium, 20.x)	42s
integration-edge (cloudflare-worker, 20.x)	13s
integration-browser (browser, firefox, 20.x)	1m 46s
integration-browser (browser, webkit, 20.x)	1m 20s
integration-nextjs (nextjs, 20.x)	28s
integration-node (commonjs, 18.x)	9s
integration-node (commonjs, 20.x)	7s
integration-node (esm, 18.x)	14s
integration-node (esm, 20.x)	12s
integration-node (typescript, 18.x)	12s
integration-node (typescript, 20.x)	10s
	7m 16s

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