Refactored multipart put head request #2253

Job	Run time
macos12	36m 5s
macos12	19m 48s
clang-tidy	4m 16s
clang-tidy	4m 16s
MemoryTest (glibc_debug)	12m 8s
MemoryTest (glibc_debug)	12m 8s
Linux (ubuntu:24.10)	11m 30s
Linux (ubuntu:24.10)	11m 30s
MemoryTest (sanitize_address)	13m 15s
MemoryTest (sanitize_address)	13m 15s
MemoryTest (sanitize_others)	11m 54s
MemoryTest (sanitize_others)	11m 54s
Linux (ubuntu:24.04)	12m 0s
Linux (ubuntu:24.04)	12m 0s
MemoryTest (sanitize_thread)	14m 54s
MemoryTest (sanitize_thread)	14m 54s
Linux (ubuntu:22.04)	13m 4s
Linux (ubuntu:22.04)	13m 4s
MemoryTest (thread_safety)	12m 34s
MemoryTest (thread_safety)	12m 34s
Linux (ubuntu:20.04)	11m 16s
Linux (ubuntu:20.04)	11m 16s
MemoryTest (valgrind)	24m 22s
MemoryTest (valgrind)	24m 22s
Linux (debian:bookworm)	12m 30s
Linux (debian:bookworm)	12m 30s
Linux (debian:bullseye)	12m 36s
Linux (debian:bullseye)	12m 36s
Linux (rockylinux:9)	12m 41s
Linux (rockylinux:9)	12m 41s
Linux (rockylinux:8)	12m 51s
Linux (rockylinux:8)	12m 51s
Linux (fedora:40)	12m 25s
Linux (fedora:40)	12m 25s
Linux (fedora:39)	13m 2s
Linux (fedora:39)	13m 2s
Linux (opensuse/leap:15)	12m 40s
Linux (opensuse/leap:15)	12m 40s
Linux (alpine:3.20)	12m 21s
Linux (alpine:3.20)	12m 21s
	9h 0m 31s

Provide feedback