belongsToMany for more than 2 foreign keys?

Hi everyone! I have four tables:

Event  - id, name

Corporation - id, name

Job - id, corporation_id, name

RegisteredJob - id, event_id, corporation_id, job_id.

As you can see, RegisteredJob table has three foreign keys - representing jobs registered for a job fair event. I think I should use belongsToMany for relationships... but the example Laravel documentation is using only two tables.

Has anyone tried belongsToMany with 3 foreign keys? Did it go well or did you find it tricky with all these pivot where... pivot sync... and etc?

If belongsToMany is particularly for two tables with many-to-many relationships only... Should I refactor RegisteredJob table something like the following?

Event  - id, name

Corporation - id, name

Job - id, corporation_id, name

// New table storing corporations attending an event.
RegisteredCorporation - id, event_id, corporation_id.

RegisteredJob - id, registered_corporation_id, event_id, job_id.

The reason why I'm keeping three foreign keys in one table is that it reduces the amount of codes I need to write... for example,

// To find a corporation name and an event name... I need to use nested with functions...
$registered_job = RegisteredJob::with('registered_corporation.corporation')->with('registered_corporation.event')....

// With one table with three foreign keys... I can simply use..
$registered_job = RegisteredJob::with('corporation', 'event')....

To recap ::

1. Is belongsToMany still good for a table with more than 2 foreign keys?

2. If not, should I refactor registered job table cuz my datbase schema has an issue in the first place?

Thanks