@Anonymous
You will not be able to Select a button that is not in the current scope (the screen) as the SharePointIntegration object is outside of that.
Your save formula should essentially just be SubmitForm(yourForm). Avoid putting anything after it and put and formulas that need to occur after the save into the OnSuccess action of the form as mentioned by @AmDev
If you have some sort of pre-checking that is going on prior to doing the SubmitForm, then consider making that part of your form interface rather than doing it at the time of submit.
If ALL else is not available, the only real way to implement this is to put your Formula into the OnCheck property of a toggle control (hidden) on your screen. Set the Default of the Toggle to: glbSubmitForm and then in the OnSave action of the SharePointIntegration, put in a Set(glbSubmitForm, true)
Make SURE you put in a Set(glbSubmitForm, false) at the end of your OnCheck action of the toggle or the toggle will never "fire" again.
I hope this is helpful for you.