Is this Idea efficient?

So, my buddy and I were talking about set-ups for ventilation and came across this idea:
-1 440 cfm exahust fan
-1 1000w ac hood light
-1 5x5x6.5 grow den tent
-1 6" carbon filter I think its 12" long I don't know
-1 Y split adapter
- 25ft of flexi ducting
- also a duct booster laying around that was thought to work but was misinterpreted but, I don't know I feel it can still have some sort of use.
The problem is heat.

So our thought was to have:
=== *represents ducting*

Outside>===Reflector===>Y-split===> exahust fan==>
The Y-split is connected to the carbon filter and the hood,( which is taking air from out side the tent), but still having the carbon filter for negative pressure taking air out of the tent and still achiving smell prevention. The fan is at the end of the line.

Any thoughts on this would be amazing thanks in advance

I would try Outside>===filter>===reflector>=== ===>exhaust.

Leave that splitter out if you can. You'll have better pull/negative pressure....you could use that little booster as an intake maybe? goodluck

I forgot to mention that heat has been a problem, that's why we thought of the y splitter, air inside the tent is getting around the 90's and climbs sometimes, where outside it's around 74 nights to 85 max daytim, (in a garage) the Y split might make the light non relevant to the tent temp?

Can you try to increase intake to remedy the heat?

I suppose I could put the duct booster down in one of the intake holes yeah