By default spell check is disabled when you install Sublime Text editor on your Mac computer (afaik), if you want it to be enabled you can do it by going to View and selecting Spell Check.

Spell check in Sublime Text
- Goto Sublime Menu,
- Goto View,
- Select Spell Check,
- You should see that the misspelled works are highlighted in red.

Enable Spell check Sublime Text
You can also use Function Key + F6 to toggle between enabling and disabling spell check option.
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