refactor(language-service): [Ivy] remove temporary compiler (#38310)

Now that Ivy compiler has a proper `TemplateTypeChecker` interface
(see #38105) we no longer need to
keep the temporary compiler implementation.

The temporary compiler was created to enable testing infrastructure to
be developed for the Ivy language service.

This commit removes the whole `ivy/compiler` directory and moves two
functions `createTypeCheckingProgramStrategy` and
`getOrCreateTypeCheckScriptInfo` to the `LanguageService` class.

Also re-enable the Ivy LS test since it's no longer blocking development.

PR Close #38310

Author: kyliau

packages/language-service/ivy/BUILD.bazel

@@ -7,7 +7,13 @@ ts_library(
     srcs = glob(["*.ts"]),
     deps = [
         "//packages/compiler-cli",
-        "//packages/language-service/ivy/compiler",
+        "//packages/compiler-cli/src/ngtsc/core",
+        "//packages/compiler-cli/src/ngtsc/core:api",
+        "//packages/compiler-cli/src/ngtsc/file_system",
+        "//packages/compiler-cli/src/ngtsc/incremental",
+        "//packages/compiler-cli/src/ngtsc/shims",
+        "//packages/compiler-cli/src/ngtsc/typecheck",
+        "//packages/compiler-cli/src/ngtsc/typecheck/api",
         "@npm//typescript",
     ],
 )