macos: Sending from Gmail alias would not work in Mail.app

I used Mail > Preferences > Accounts > Google > Account Data > E-mail Deal with > Edit E-mail Addresses so as to add some aliases for my Gmail account.

My authentic account is (e-mail protected)however I’ve added aliases (e-mail protected), (e-mail protected)and so on

In Gmail, you possibly can add a “+” image and any phrase you need to the tip of your e-mail tackle, and it’ll nonetheless arrive in your inbox. For instance, in case your e-mail tackle is (e-mail protected)you need to use (e-mail protected), (e-mail protected)both (e-mail protected). All of those e-mail addresses will arrive in your inbox, however Gmail will deal with them as separate e-mail addresses.

This characteristic… permits you to manage your emails extra effectively. …You may create separate (inboxes) for various functions, resembling newsletters, Eventbrite notifications, or work-related communications.

One other benefit… is that it makes it simpler to trace the origin of spam emails. By creating a novel e-mail tackle for every web site or service you join, you possibly can simply determine which web site is spamming you by wanting on the “from” subject within the e-mail.

— https://eit.ces.ncsu.edu/2023/02/gmail-plus-addressing-the-hidden-feature-that-can-help-you-get-more-of-your-inbox/

Nevertheless, once I select to ship mail utilizing these Mail.app addresses, the recipient solely sees my authentic tackle. (e-mail protected) ADDRESS.

I am deciding on them like this:

1. File > New message
2. TO: (e-mail protected)
3. Topic: Take a look at
4. Of: (use the dropdown listing to pick out) (e-mail protected)
5. Message > Ship

However the e-mail that (e-mail protected) receives says that it’s from (e-mail protected)No (e-mail protected)

After I use the gmail.com web site to ship mail,

1. Settings > See all settings > Accounts and import > Ship e-mail as: > Add one other e-mail tackle >
   1. Title: instance
   2. E-mail tackle: (e-mail protected)
   3. Go away the “Deal with as alias” field checked
   4. Subsequent step »
2. Compose
3. Of: (use drop down menu to pick out) (e-mail protected)
4. TO: (e-mail protected)
5. Topic: Take a look at
6. Ship

Now, the e-mail that (e-mail protected) receives, has the right “From” subject, from (e-mail protected).

And, if I ship once more the identical method from Apple Mail.app, it can even have the right “From” subject.

I actually do not need to must maintain two e-mail alias lists in sync, including aliases to both of them is already an arduous course of in itself.

Is there a strategy to get utilizing Mail.app aliases within the From: subject to work?