The early 2.7's have the problems... An '04 is most likely ok...
buuuut...
I would STILL run synthetic for the peace of mind...
Any name brand you find on sale or stock up with rebates will do.
I've used Synpower, Q-horsepower, and PP with no noticeable difference in consumption. My '01 burns about half a quart between my 6,0000km (almost 4,000mile) OCI.
Even regular name brand dino is fine... These engines run HOT. But I think after 2002, the engines were tweaked down --> My '01 is rated at 200hp, while yours is 190hp I believe, with less torque too. The KEY is to keep the oil topped up! (or so I've been told). ALWAYS keep the oil at the FULL mark! ...but again, design changes were made after '01 or '02.
My Sebring was bought brand new (father's car), 5,000km OCI dealer bulk till about 120,000km, then switched to synthetic (after I took it over) and currently at 156,000km. When switching, I used Auto RX, just because it was really popular on here at the time... Not sure if it helped, but it certainly didn't hurt! If you don't know the history, MMO or Auto RX should be considered. Else.. I think some runs on synthetic will do the same... Oh.. and check the PCV valve (might as well just replace it.. OEM preferably)
On dino, would burn 1+ quart(s) between oil changes.. slightly less with the synthetic (dunno why).. I now use either PureOne or Bosch filters, or even Mobil 1 or K&N depending on what sales/rebates are out there. Oil still comes out very dark, but no sludge or particles or anything.
The 2.7's in these cars are very fun... Car is very peppy..
...But, none of my automatic door locks work.. but I can live with that! haha