Since up dating to masOS Sonoma 14.3.1 InDesign, Illustrator and Acrobat are constantly crashing. Can anyone help

More than one antivirus app - This computer has multiple antivirus apps installed.

This is a problem, and most likely the cause of your issues. The correct number of third party "antivirus" is zero. You should keep the system and its built-in security up to date.

Antivirus software: CleanMyMac, McAfee, Trusteer, Apple, and Malwarebytes

Ouch!!!! Not only you have FOUR "antivirus" besides Apple, they are pretty darned bad (*) - first among those

being "cleanmymac", which is often dubbed "brickmymac", and with good reason.

(*) The only reputable program among these four is Malwarebytes - but it should not be kept running permanently in the background, only run manually if you have any reason to suspect something.

Please completely uninstall these, and then post a new report.

Effective defenses against malware and other threats

From the new report:

Antivirus software: CleanMyMac, McAfee, Trusteer, Apple, and Malwarebytes

So it seems that they are all still there.

You have to use their own instructions to uninstall.

The first thing is to make sure that these applications are all up to date. Are they?

If the problem persists: Please run Etrecheck and post its full report here. Use the "additional text" button and paste the report into the text box.

With respect and not to pile on to what has already been suggested

Specific to CleanMyMac aka “ BrickMyMac “

To put the CleanMyMac in context and the damages it may have or has already done.

This application can or will Muck Up your User Account ( Home Folder ) of this machine.

It does not touch the Operating System itself unless you consider your User Account ( Home Folder ) as part of the Operating System

Then in that specific context - it has Mucked Up the Operating  System 

As for AntiVirus software .

There are some who believe removing all the Bits and Pieces of Both AV Software and Disk Cleaners. is much like a ticking time bomb waiting to go off.

You can spend a great deal of time and effort removing them and still not get everything removed

Hard choices at this juncture as what is the better way to put the computer right.

Working and hoping one gets all off or a more drastic measure and start over

It is a good idea to keep macOS current (now 14.4) as Adobe may include fixes and features in their current app updates that may correlate to Apple's current operating system development kit used by Adobe to build those apps.

You still have McAfee and portions of Trusteer.

And on top of that, not one, but two remote access software titles. LogMeIn and TeamViewer.