[Build] Use impl dependencies for compiler.common.{web,wasm}

Refactor build scripts to use implementation dependencies instead of api
for finer grained recompilations.

compiler/fir/checkers/checkers.wasm/build.gradle.kts

@@ -8,7 +8,8 @@ plugins {
 dependencies {
     api(project(":compiler:fir:checkers"))
     api(project(":compiler:fir:checkers:checkers.web.common"))
-    api(project(":core:compiler.common.wasm"))
+    implementation(project(":core:compiler.common.wasm"))
+    implementation(project(":core:compiler.common.web"))
 
     // Needed for JS identifier utils
     implementation(project(":js:js.ast"))

compiler/fir/checkers/checkers.web.common/build.gradle.kts

@@ -5,7 +5,7 @@ plugins {
 
 dependencies {
     api(project(":compiler:fir:checkers"))
-    api(project(":core:compiler.common.wasm"))
+    implementation(project(":core:compiler.common.web"))
 
     /*
      * We can't remove this dependency until we use