  Young (<500 Myr) planets are critical to studying how planets form and
evolve. Among these young planetary systems, multi-planet configurations are
particularly useful as they provide a means to control for variables within a
system. Here, we report the discovery and characterization of a young planetary
system, TOI-1224. We show that the planet-host resides within a young
population we denote as MELANGE-5 . By employing a range of age-dating methods
-- isochrone fitting, lithium abundance analysis, gyrochronology, and Gaia
excess variability -- we estimate the age of MELANGE-5 to be 210$\pm$27 Myr.
MELANGE-5 is situated in close proximity to previously identified younger (80
-110 Myr) associations, Crius 221 and Theia 424/Volans-Carina, motivating
further work to map out the group boundaries. In addition to a planet candidate
detected by the TESS pipeline and alerted as a TESS Object of Interest,
TOI-1224 b, we identify a second planet, TOI-1224 c, using custom search tools
optimized for young stars (Notch and LOCoR). We find the planets are
2.10$\pm$0.09$R_\oplus$ and 2.88$\pm$0.10$R_\oplus$ and orbit their host star
every 4.18 and 17.95 days, respectively. With their bright ($K$=9.1 mag), small
($R_{*}$=0.44R$_{\odot}$), and cool ($T_{eff}$ =3326K) host star, these planets
represent excellent candidates for atmospheric characterization with JWST.
