Entering the Training Complex in Valorant Tutorial

Solution 1:

After obtaining the handgun, a flying drone with a target attached to its body should appear hovering to your left, which the voiceover will ask you to shoot down. Shooting this drone down will disable one of the impenetrable blue force fields and allow you to progress further into the tutorial, which will see you taking a path further around the area and shooting humanoid bots. You can see the intended progress here:

If no drone has appeared for you, you may have hit a bug and should attempt to restart the tutorial.