Play in Wheel After Inner/Outer Tie Rod Replacement

Hello. I would like some advice on a problem that I'm having. Long story short, I replaced my inner and outer tie rods on both sides of my car over the weekend (Thanks Teal DX for that DIY. Very helpful). and had it aligned today, however I still have some wheel play in my driver side wheel when I shake it side to side. Only in that direction as well. Taking the wheel off and pulling/pushing the tie rod I can feel quite a bit of play in it. The other side feels great with no play at all.
Also, I didn't check for wheel play until after I got it home after the alignment, and the only reason I did then was because I was hearing some noise from the front driver side suspension. (that I heard previously before the install that I thought was the tie rod ball joint and thought fixed. It is a lot quieter than before tho.)
So whats the deal? Are the tie rods that I got no good? The outer tie rods are brand new Beck and Arney tie rods that I bought off of Amazon, and the inner tie rods I got at AdvanceAutoParts. (Cant remember the name brand, but they were cheap at $18 each. It was that or $81 each for the next one up.) I do remember that the driver side inner tie rod ball joint felt looser than the passenger side, but I didn't believe it felt so loose as to have play in it.
The car is a 95 civic coupe. The only mods are engine swap with exhaust and 17" wheels.
Thanks for the help in advance.
Also, I didn't check for wheel play until after I got it home after the alignment, and the only reason I did then was because I was hearing some noise from the front driver side suspension. (that I heard previously before the install that I thought was the tie rod ball joint and thought fixed. It is a lot quieter than before tho.)
So whats the deal? Are the tie rods that I got no good? The outer tie rods are brand new Beck and Arney tie rods that I bought off of Amazon, and the inner tie rods I got at AdvanceAutoParts. (Cant remember the name brand, but they were cheap at $18 each. It was that or $81 each for the next one up.) I do remember that the driver side inner tie rod ball joint felt looser than the passenger side, but I didn't believe it felt so loose as to have play in it.
The car is a 95 civic coupe. The only mods are engine swap with exhaust and 17" wheels.
Thanks for the help in advance.