Remove `source.{dump, drop}`, add `request.{dump, process}`. #11786

Job	Run time
build_opam (4.14.x)	1m 9s
build_js	1m 9s
build_details	3s
build_opam (5.2.x)	1m 9s
build_no_depopts	58s
lezer_parse	50s
build_win32 (x64)	57s
build_posix (debian_trixie, amd64)	57s
build_posix (debian_bookworm, amd64)	58s
run_tests (@citest)	57s
build_posix (ubuntu_oracular, amd64)	58s
run_tests (@doctest)	57s
tree_sitter_parse	48s
build_posix (ubuntu_noble, amd64)	57s
update_doc	0s
run_tests (@mediatest)	57s
build_posix (alpine, amd64)	58s
fetch_s3_artifacts	1s
build_docker_alpine_minimal	1s
build_docker_alpine	1s
build_docker_minimal	1s
build_docker	1s
update_release	1s
build_docker_release-minimal	1s
build_docker_release	1s
	14m 50s

Provide feedback