Whether your Georgie will outgrow his current passion for Bebe or not, time will tell. From my experience I know certain budgies will keep that passion and I see it as a personality trait in a way.
While some young budgies will calm down and outgrow this "pushy" behaviour, others will keep it throughout their lives. The intensity with which they show their passion will be more visible in the first 2 - 3 years. After that they will naturally slow down.
My recently departed boy, Carioca was one of these extremely passionate boys. He would very often show his passion towards his toys at a very young age.
When I placed him with a budgie friend, he calmed down somewhat and he naturally bonded with his mate and his behaviour changed for the better.
I noticed over the years that he was always very protective towards his mate and due to this Carioca and his mate would have separate out of cage time in order to avoid bickerings triggered by jealousy.
For your current case, and if Bebe is bothered by Georgie's advances and if there are constant bickerings between Georgie and Louie, it would be best to try to divert Georgie's focus to you. You could work on bonding more closely to Georgie by spending extra one-on-one quality time with him, to set up playful activities which would keep him busy and hopefully make him forget about Bebe for a while.
It would be helpful to schedule different and separate out of cage times for both Georgie and Bebe/Louie.
If despite your efforts, Georgie continues to go to Louie and Bebe's cage to "disrupt" the peace, then as last measure you can temporarily move Louie and Bebe's cage to a different room and let Georgie's cage on the same room with the rest of your flock in hopes of more effectively wean him off Bebe. By doing so, Georgie will not be isolated from companionship even despite having the cage for himself and Bebe and Louie would be okay because they have each other and would still have out of cage time with the rest of the flock.
I hope my post wasn't too confusing...
Best of luck with everything!