Remove unused Gradle dependencies

Remove dependencies flagged as unused by the Dependency Analysis Gradle Plugin
(`./gradlew buildHealth`) and explicitly declared in module build files.

Removals were skipped when the dependency provides transitively something the
module (or a consumer of an `api` dependency) uses directly, as well as for
runtime-only dependencies (element-call-embedded, sentry-android,
rustls-platform-verifier). Dependencies added by the convention plugin helpers
(composeDependencies, testCommonDependencies) are left untouched.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

services/analytics/api/build.gradle.kts

@@ -17,5 +17,4 @@ dependencies {
     api(projects.services.analyticsproviders.api)
     api(projects.services.toolbox.api)
     implementation(libs.coroutines.core)
-    implementation(projects.libraries.core)
 }

services/analytics/test/build.gradle.kts

@@ -15,7 +15,6 @@ android {
 
 dependencies {
     api(projects.services.analytics.api)
-    implementation(projects.libraries.core)
     implementation(projects.tests.testutils)
     implementation(libs.coroutines.core)
 }

services/analyticsproviders/posthog/build.gradle.kts

@@ -39,7 +39,6 @@ dependencies {
     implementation(libs.posthog) {
         exclude("com.android.support", "support-annotations")
     }
-    implementation(projects.features.enterprise.api)
     implementation(projects.libraries.core)
     implementation(projects.libraries.di)
     implementation(projects.services.analyticsproviders.api)

services/apperror/impl/build.gradle.kts

@@ -20,12 +20,9 @@ android {
 }
 
 dependencies {
-    implementation(projects.libraries.core)
-    implementation(projects.libraries.di)
     implementation(projects.services.toolbox.api)
 
     implementation(libs.coroutines.core)
-    implementation(libs.androidx.corektx)
 
     api(projects.services.apperror.api)
 

services/appnavstate/api/build.gradle.kts

@@ -16,7 +16,6 @@ android {
 
 dependencies {
     implementation(libs.coroutines.core)
-    implementation(libs.androidx.lifecycle.runtime)
     implementation(libs.androidx.lifecycle.process)
     implementation(libs.androidx.startup)
     implementation(projects.libraries.matrix.api)

services/appnavstate/test/build.gradle.kts

@@ -18,5 +18,4 @@ dependencies {
     api(projects.libraries.matrix.api)
     api(projects.services.appnavstate.api)
     implementation(libs.coroutines.core)
-    implementation(libs.androidx.lifecycle.runtime)
 }