Is a Request for Continued Examination (RCE) considered a new application?

No, a Request for Continued Examination (RCE) is not considered a new application. The MPEP 203.01 clarifies this point:

Note that a request for continued examination (RCE)(see 37 CFR 1.114) is not a type of new application filing.

An RCE is a way to continue prosecution of an existing application after a final rejection, rather than starting a new application. For more details on RCEs, refer to MPEP § 706.07(h).

To learn more:

Topics: MPEP 200 - Types and Status of Application; Benefit and Priority, Patent Law, Patent Procedure
Tags: new application, patent prosecution, RCE