auto-docs: Update Admin API docs for v26.1.10 #272

Job	Run time
determine-doc-ids	3s
Check diff (cloud-dataplane)	9s
Check diff (cloud-controlplane)	16s
Check diff (admin)	14s
Check diff (schema-registry)	9s
Check diff (http-proxy)	10s
Deploy API documentation on Bump.sh	0s
	1m 1s

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