If I have a Luminous Energy attached to Alcremie, can I use its "Colorful Confection" attack to search my deck for any Energy type of Pokemon?
No, while Luminous Energy provides all types of Energy at the same time, it is not a Basic Energy card.
Source: Stellar Crown FAQ; TPCi Rules Team (2024-09-12)

Relevant cards

Note: All applicable cards may not be listed below.
SV7_65
SV7_65
SV2_191