Trigger a Mojo programmatically from another Mojo - maven

Question

Can I make a Mojo that runs during integration-test phase trigger another Mojo that runs during verify phase?
This question is a follow up on my previous question. I extended the frontend-maven-plugin with a parameter that delays build failure from integration tests until the verify phase to allow the post-integration-test phase to execute properly. This is often needed to clean up the environment (close DB, server, ...). Pull request commit available here.
The solution is rather hacky because it requires the user to add a verify execution phase, even if it doesn't do anything. Instead, I would like an execution on the integration-test phase to automatically execute a Mojo during the verify phase (without the user explicitly adding this to the Maven configuration). So the following:
<execution>
<id>npm run integration tests</id>
<goals>
<goal>npm</goal>
</goals>
<phase>integration-test</phase>
<configuration>
<arguments>run e2e</arguments>
<integrationTestFailureAfterPostIntegration>true</integrationTestFailureAfterPostIntegration>
</configuration>
</execution>
should trigger e2e tests to run during integration-test phase, but also needs to execute another Mojo during verify phase.
Is this possible and how would you do it?
UPDATE: I managed to add another pluginExecution at runtime to the plugin like so:
for (Plugin plugin : project.getBuildPlugins()) {
if("com.github.eirslett".equals(plugin.getGroupId()) && "frontend-maven-plugin".equals(plugin.getArtifactId())){
PluginExecution verifyExecution = new PluginExecution();
verifyExecution.addGoal("verify");
verifyExecution.setId("verify integration tests");
verifyExecution.setPhase("verify");
plugin.addExecution(verifyExecution);
}
}
but this does not seem to affect the runtime executions. The goal is a custom verify Mojo that performs the validation during the verify phase