Refactored multipart put head request #2392

Job	Run time
clang-tidy	7m 33s
clang-tidy	7m 33s
MemoryTest (glibc_debug)	12m 12s
MemoryTest (glibc_debug)	12m 12s
Linux (ubuntu:24.10)	12m 7s
Linux (ubuntu:24.10)	12m 7s
macos-13	15m 50s
macos-13	15m 50s
MemoryTest (sanitize_address)	14m 34s
MemoryTest (sanitize_address)	14m 34s
Linux (ubuntu:24.04)	13m 4s
Linux (ubuntu:24.04)	13m 4s
MemoryTest (sanitize_others)	13m 6s
MemoryTest (sanitize_others)	13m 6s
Linux (ubuntu:22.04)	4m 15s
Linux (ubuntu:22.04)	13m 46s
MemoryTest (sanitize_thread)	14m 38s
MemoryTest (sanitize_thread)	14m 38s
Linux (ubuntu:20.04)	12m 21s
Linux (ubuntu:20.04)	12m 21s
MemoryTest (thread_safety)	12m 21s
MemoryTest (thread_safety)	12m 21s
Linux (debian:bookworm)	14m 4s
Linux (debian:bookworm)	14m 4s
Linux (debian:bullseye)	11m 52s
Linux (debian:bullseye)	11m 52s
MemoryTest (valgrind)	23m 0s
MemoryTest (valgrind)	23m 0s
Linux (rockylinux:9)	13m 25s
Linux (rockylinux:9)	13m 25s
Linux (rockylinux:8)	12m 38s
Linux (rockylinux:8)	12m 38s
Linux (fedora:41)	12m 51s
Linux (fedora:41)	12m 51s
Linux (fedora:40)	12m 11s
Linux (fedora:40)	12m 11s
Linux (opensuse/leap:15)	14m 31s
Linux (opensuse/leap:15)	14m 31s
Linux (alpine:3.20)	13m 6s
Linux (alpine:3.20)	13m 6s
	8h 48m 49s

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