Gradle sync failed with AlreadyDisposedException when loading previously unloaded module in Android Studio 2020.3.1

I have been facing this issue whenever I trigger Gradle sync after loading modules. I am developing a plugin to automatically load/unload modules and I was getting this exception. I thought this might be my programming error but I was able to reproduce the issue in the IDE itself.

Step to reproduce:

1. Unload a module from the project.
2. Perform Gradle sync.
3. Load the module from the project.
4. Perform Gradle sync again.

I am getting this exception

Caused by: com.intellij.serviceContainer.AlreadyDisposedException: Already disposed: Module: 'ModuleLoaderTest.features.FeatureB' (disposed)
	at com.intellij.serviceContainer.ComponentManagerImpl.getMessageBus(ComponentManagerImpl.kt:175)
	at com.android.tools.idea.model.AndroidModel.set(AndroidModel.java:61)
	at com.android.tools.idea.projectsystem.gradle.sync.AndroidModuleDataServiceKt.configureFacet(AndroidModuleDataService.kt:285)
	at com.android.tools.idea.projectsystem.gradle.sync.AndroidModuleDataServiceKt.access$configureFacet(AndroidModuleDataService.kt:1)
	at com.android.tools.idea.projectsystem.gradle.sync.AndroidModuleDataService.importData(AndroidModuleDataService.kt:129)
	at com.android.tools.idea.gradle.project.sync.idea.data.service.ModuleModelDataService.lambda$importData$0(ModuleModelDataService.java:46)
	at com.intellij.openapi.command.WriteCommandAction.lambda$runWriteCommandAction$5(WriteCommandAction.java:362)
	at com.intellij.openapi.command.WriteCommandAction$BuilderImpl$1.run(WriteCommandAction.java:112)
	at com.intellij.openapi.application.RunResult.run(RunResult.java:35)
	at com.intellij.openapi.command.WriteCommandAction.lambda$performWriteCommandAction$1(WriteCommandAction.java:253)
	at com.intellij.openapi.application.impl.ApplicationImpl.runWriteAction(ApplicationImpl.java:1006)
	at com.intellij.openapi.command.WriteCommandAction.lambda$performWriteCommandAction$2(WriteCommandAction.java:252)
	at com.intellij.openapi.command.WriteCommandAction.lambda$doExecuteCommand$4(WriteCommandAction.java:310)
	at com.intellij.openapi.command.impl.CoreCommandProcessor.executeCommand(CoreCommandProcessor.java:220)
	at com.intellij.openapi.command.impl.CoreCommandProcessor.executeCommand(CoreCommandProcessor.java:187)
	at com.intellij.openapi.command.WriteCommandAction.doExecuteCommand(WriteCommandAction.java:312)
	at com.intellij.openapi.command.WriteCommandAction.performWriteCommandAction(WriteCommandAction.java:251)
	at com.intellij.openapi.command.WriteCommandAction.lambda$execute$0(WriteCommandAction.java:236)
	at com.intellij.openapi.application.TransactionGuardImpl.runWithWritingAllowed(TransactionGuardImpl.java:216)
	at com.intellij.openapi.application.TransactionGuardImpl.access$200(TransactionGuardImpl.java:24)
	at com.intellij.openapi.application.TransactionGuardImpl$2.run(TransactionGuardImpl.java:199)
	at com.intellij.openapi.application.impl.ApplicationImpl.runIntendedWriteActionOnCurrentThread(ApplicationImpl.java:828)
	at com.intellij.openapi.application.impl.ApplicationImpl.lambda$invokeAndWait$8(ApplicationImpl.java:482)
	at com.intellij.openapi.application.impl.LaterInvocator$1.run(LaterInvocator.java:127)
	at com.intellij.openapi.application.impl.FlushQueue.doRun(FlushQueue.java:85)
	at com.intellij.openapi.application.impl.FlushQueue.runNextEvent(FlushQueue.java:134)
	at com.intellij.openapi.application.impl.FlushQueue.flushNow(FlushQueue.java:47)
	at com.intellij.openapi.application.impl.FlushQueue$FlushNow.run(FlushQueue.java:190)
	at java.desktop/java.awt.event.InvocationEvent.dispatch(InvocationEvent.java:313)
	at java.desktop/java.awt.EventQueue.dispatchEventImpl(EventQueue.java:770)
	at java.desktop/java.awt.EventQueue$4.run(EventQueue.java:721)
	at java.desktop/java.awt.EventQueue$4.run(EventQueue.java:715)
	at java.base/java.security.AccessController.doPrivileged(Native Method)
	at java.base/java.security.ProtectionDomain$JavaSecurityAccessImpl.doIntersectionPrivilege(ProtectionDomain.java:85)
	at java.desktop/java.awt.EventQueue.dispatchEvent(EventQueue.java:740)
	at com.intellij.ide.IdeEventQueue.defaultDispatchEvent(IdeEventQueue.java:976)
Caused by: com.intellij.serviceContainer.AlreadyDisposedException: Already disposed: Module: 'ModuleLoaderTest.features.FeatureB' (disposed)