Generally speaking, you avoid spreading business logic across different layers of the application. Imagine that other people will maintain the code, what will happen? The new programmer will have to shake a little to realize that the logic that updates the stock quantity is simply not in the code layer responsible for changing the stock, it is in the data layer.
When I studied software engineering, I had an interesting phrase that was used 'data layer is data / storage layer, business is business'. but then I realized that it's not that simple and that making the team maintain the conceptual integrity of a project is really difficult, requires discipline.
In this more specific case, the performance will certainly be something to be discussed, since removing the trigger will cause the application to have an access to the database to do the update (or other action) and this usually is slower.
You should look at the key factors that are going to affect your project, and what architectural decisions have been made at the outset so that one-time maintenance implementations will not destroy your architecture but will not destroy performance.
An article by Martin Fowler (a classic reference in OOP) can help you with topics already discussed, I removed a portion of the text that may give you a vision:
"With both of the first two, the database is used pretty much as a
storage mechanism. All we've done is asked for all the records from a
particular table with some very simple filtering. SQL is a very
powerful query language and can do much more than the simple filtering
that these examples use .... "
Something like: Generally, the database is a mechanism for storing data, all we do is request a dataset with a particular filter criteria. SQL is a powerful language and can do much more than simply filter ... - free translation.
This text shows the basic definition and goes into the discussion of the major aspects of using logic in the application or in SQL statements, is not so didactic and assumes that the reader has experience in certain scenarios, but will help. >
link
There is another, though not so discussed, many commercial applications support more than one database (Oracle, Mysql, SQL Server, etc.), the "SQL language" that each supports will vary by vendor, as well as features that can be used in conjunction with the language chosen for the other layers (PHP, ASP.NET, etc.), so putting the business rules in the database will require a more complex product maintenance strategy for various databases , since the main validations of a software are the business rules and this cost can directly impact the product management model.