run additional tests during maven deploy phase

In my project I have a set of a very fast unit-tests and small integration-tests as well a set of slower integration, end2end and performance tests (10mintes+). I use junit5 tags to classify them and in my pom.xml I configured maven-surefire-plugin to run only the fast ones with <groups>fast</groups> (I have other projects based on this one, that I'm working on in parallel, so I don't want to wait 10minutes after each tiny change to the base project).
However when I deploy to central using nexus-staging-maven-plugin I definitely do want to run the slow ones also. Currently I do it by manually overriding groups system property on the command line: mvn -Dgroups="fast|slow" clean deploy. This is however prone to mistakes and I wonder if there's a way to automate it: is it for example possible to automatically use different configuration for maven-surefire-plugin depending whether I do install or deploy?

to summarize all the comments to SiKing's answer:

<plugins>
    <plugin>
        <groupId>org.apache.maven.plugins</groupId>
        <artifactId>maven-surefire-plugin</artifactId>
        <version>3.1.2</version>
        <executions>
            <execution>
                <!-- reconfigure the default execution from test phase -->
                <id>default-test</id>
                <configuration>
                    <excludedGroups>slow</excludedGroups>
                </configuration>
                <goals>
                    <goal>test</goal>
                </goals>
            </execution>
            <execution>
                <!-- additional execution at the beginning of deploy phase -->
                <id>pre-deploy-test</id>
                <phase>deploy</phase>
                <configuration>
                    <groups>slow</groups>
                </configuration>
                <goals>
                    <goal>test</goal>
                </goals>
            </execution>
        </executions>
    </plugin>
    <plugin>
        <!-- nexus-staging must be placed *AFTER* surefire -->
        <groupId>org.sonatype.plugins</groupId>
        <artifactId>nexus-staging-maven-plugin</artifactId>
        <!-- nexus staging config here... -->
    </plugin>
    <!-- other plugins here... -->
</plugins>

update: as per this comment, some may consider the above an abuse of surefire, hence below is a version that uses maven-failsafe-plugin for pre-deploy tests, so there's no need to "hack" into default-test execution of surefire.

<plugins>
    <plugin>
        <groupId>org.apache.maven.plugins</groupId>
        <artifactId>maven-surefire-plugin</artifactId>
        <version>3.1.2</version>
        <configuration>
            <excludedGroups>slow</excludedGroups>
        </configuration>
    </plugin>
    <plugin>
        <groupId>org.apache.maven.plugins</groupId>
        <artifactId>maven-failsafe-plugin</artifactId>
        <version>3.1.2</version>
        <executions>
            <execution>
                <id>pre-deploy-tests</id>
                <phase>deploy</phase>
                <configuration>
                    <includes>
                        <include>**/*Test.java</include>
                        <include>**/*Tests.java</include>
                    </includes>
                    <groups>slow</groups>
                </configuration>
                <goals>
                    <goal>integration-test</goal>
                    <goal>verify</goal>
                </goals>
            </execution>
        </executions>
    </plugin>
    <plugin>
        <!-- nexus-staging must be placed *AFTER* failsafe -->
        <groupId>org.sonatype.plugins</groupId>
        <artifactId>nexus-staging-maven-plugin</artifactId>
        <!-- nexus staging config here... -->
    </plugin>
    <!-- other plugins here... -->
</plugins>