Last week (April 2023), I picked up a working pair of g5s after using the g3s for a few months. I was so impressed by the sound from the g3s that couldn't wait to hear the g5s. When I placed the g5s on the destination cabinets, I noticed that one of the tweeters was poked with someone's fingre and it was pushed in. This was upsetting but I was able to find a solution that worked with my set so I thought I share it here for future considerations.
SONY CARBOCON SS-G3 AND SS-G5
Pushed in tweeter on the g5 speaker
Before reading the entire thread, I start by saying that you could pull the tweeter dome back out by suction such as the suction from a vacuum cleaner. The challenge with this unit is that there is a black metal grill in front of the tweeters. So I started my journey by pullting out the components to isolate the tweeter from the rest of its parts including the front black grill.
I removed the plate that holds the tweeter and mid-range speakers from the box. The plate is attached with machine screws, it was the first site of things that we would never ever see in a speaker design!

Using an Allan key to remove the machine screws.

SONY mid-range and tweeter speaker backsides

G5 speaker box filled with sound insulation batting
I could not ply off the black grill that is protecting the tweeter component.

Sony ss g5 tweeter, note that the dome is pushed in on the right side.
Since I did not want to risk damaging other parts of the tweeter while trying to remove the black grill, I decided to create a make shift vacuum hose small enough to reach the cavity between black tabs on the grill. I connected a cone plastic to the vacuum hose and then I attached a soft silicon straw tube to the end to make the opening even smaller. This significanly reduced the vacuum's suction power but there was still suction non the less.

Make shift suction tube to access the tweeter dome
Then I held the soft siilcon straw near the dome surface through the openings on the front grill and to my surprize it just poped out with a bang! I can not see any evidence of the pushed in dome anywhere on the tweeter now.

So if I knew that this method works at the end then I did not need to remove the tweeter in the first place.
I hope that this helps a member in the future. Now is time to enjoy some tunes
SONY CARBOCON SS-G3 AND SS-G5
Pushed in tweeter on the g5 speaker
Before reading the entire thread, I start by saying that you could pull the tweeter dome back out by suction such as the suction from a vacuum cleaner. The challenge with this unit is that there is a black metal grill in front of the tweeters. So I started my journey by pullting out the components to isolate the tweeter from the rest of its parts including the front black grill.
I removed the plate that holds the tweeter and mid-range speakers from the box. The plate is attached with machine screws, it was the first site of things that we would never ever see in a speaker design!

Using an Allan key to remove the machine screws.

SONY mid-range and tweeter speaker backsides

G5 speaker box filled with sound insulation batting
I could not ply off the black grill that is protecting the tweeter component.

Sony ss g5 tweeter, note that the dome is pushed in on the right side.
Since I did not want to risk damaging other parts of the tweeter while trying to remove the black grill, I decided to create a make shift vacuum hose small enough to reach the cavity between black tabs on the grill. I connected a cone plastic to the vacuum hose and then I attached a soft silicon straw tube to the end to make the opening even smaller. This significanly reduced the vacuum's suction power but there was still suction non the less.

Make shift suction tube to access the tweeter dome
Then I held the soft siilcon straw near the dome surface through the openings on the front grill and to my surprize it just poped out with a bang! I can not see any evidence of the pushed in dome anywhere on the tweeter now.

So if I knew that this method works at the end then I did not need to remove the tweeter in the first place.
I hope that this helps a member in the future. Now is time to enjoy some tunes