Shared Libraries and Stashing

I am currently a jenkins user and is exploring the Teamcity.

In jenkins we have a concept of shared libraries, which basically extends a generic groovy code into different jenkins pipeline and avoid re-writing the same functionality in each jenkins file following the DRY (don't repeat yourself) , hide implementation complexity, keep pipelines short and easier to understand

Example:

There could be a repository having all the Groovy functions like:

Repo: http:://github.com/DEVOPS/Utilities.git (repo Utilities)

Sample Groovy Scipt ==>> GitUtils.groovy with below functions

//name of shared library given in jenkins
@Library('utilities') _   

pipeline {
    agent any
    stages {
        stage ('Example') {
            steps {
                // log.info 'Starting' 
                script { 
                     def gitutil = new GitUtils()
                     gitutils.setGitConfig("Ray", "Ray@rayban.com")
                }
            }
        }
    }
}

And that's it anyone wanting the same function has to just include the library in jenkinsfile and use it in pipeline

Question:

Can we migrate over the same to Teamcity, if yes please suggest how it can be done.

We do not want to sped lot of time to re-writing

Question2

Jenkins also support Stashing and unstashing of workspace between stages, is the similar   concept present in teamcity?

pipeline{
    agent any
     stages{
        stage('Git checkout'){
            agent { label 'master' }
            steps{  
               stash includes: '/root/hello-world/*', name: 'mysrc'  
               }
}
        
        stage('maven build'){
            agent { label 'slave-1' }
            steps{
            
               unstash 'mysrc'
               sh label: '', script: 'mvn clean package'
            }
        }
    }
    
}