Auto merge of #90329 - nbdd0121:typeck, r=nagisa

Try all stable method candidates first before trying unstable ones

Currently we try methods in this order in each step:
* Stable by value
* Unstable by value
* Stable autoref
* Unstable autoref
* ...

This PR changes it to first try pick methods without any unstable candidates, and if none is found, try again to pick unstable ones.

Fix #90320
CC #88971, hopefully would allow us to rename the "unstable_*" methods for integer impls back.

`@rustbot` label T-compiler T-libs-api

compiler/rustc_session/src/options.rs

@@ -1240,6 +1240,8 @@ options! {
         and set the maximum total size of a const allocation for which this is allowed (default: never)"),
     perf_stats: bool = (false, parse_bool, [UNTRACKED],
         "print some performance-related statistics (default: no)"),
+    pick_stable_methods_before_any_unstable: bool = (true, parse_bool, [TRACKED],
+        "try to pick stable methods first before picking any unstable methods (default: yes)"),
     plt: Option<bool> = (None, parse_opt_bool, [TRACKED],
         "whether to use the PLT when calling into shared libraries;
         only has effect for PIC code on systems with ELF binaries