Do not include libraries when compiling (#3801)

In this PR, when in experimental_use_cc_common_link mode, we no longer
include linker, runtime libraries, and any transitive libraries to link
in the rustc compilation action. This makes incremental rebuilds faster
by not recompiling when once of those linker inputs changes.

Co-authored-by: Krasimir Georgiev <krasimir@google.com>

Author: hlopko

rust/private/rustc.bzl

@@ -753,12 +753,12 @@ def collect_inputs(
     # Pass linker inputs only for linking-like actions, not for example where
     # the output is rlib. This avoids quadratic behavior where transitive noncrates are
     # flattened on each transitive rust_library dependency.
-    additional_transitive_inputs = []
+    libs_from_linker_inputs = []
     ambiguous_libs = {}
     if crate_info.type not in ("lib", "rlib"):
         linker_inputs = dep_info.transitive_noncrates.to_list()
         ambiguous_libs = _disambiguate_libs(ctx.actions, toolchain, crate_info, dep_info, use_pic)
-        additional_transitive_inputs = _collect_libs_from_linker_inputs(linker_inputs, use_pic) + [
+        libs_from_linker_inputs = _collect_libs_from_linker_inputs(linker_inputs, use_pic) + [
             additional_input
             for linker_input in linker_inputs
             for additional_input in linker_input.additional_inputs
@@ -802,16 +802,17 @@ def collect_inputs(
 
     nolinkstamp_compile_inputs = depset(
         nolinkstamp_compile_direct_inputs +
-        additional_transitive_inputs,
+        ([] if experimental_use_cc_common_link else libs_from_linker_inputs),
         transitive = [
-            runtime_libs,
-            linker_depset,
             crate_info.srcs,
             transitive_crate_outputs,
             crate_info.compile_data,
             dep_info.transitive_proc_macro_data,
             toolchain.all_files,
-        ],
+        ] + ([] if experimental_use_cc_common_link else [
+            runtime_libs,
+            linker_depset,
+        ]),
     )
 
     # Register linkstamps when linking with rustc (when linking with