Young (<500Myr) planets are critical to studying how planets form and evolve. Among these young planetary systems, multiplanet 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+/-27Myr. MELANGE-5 is situated in close proximity to previously identified younger (80-110Myr) 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 that the planets are 2.10+/-0.09R_{Earth}_ and 2.88+/-0.10R_{Earth}_ and orbit their host star every 4.18 and 17.95 days, respectively. With their bright (K=9.1mag), small (R*=0.44R_{sun}_), and cool (Teff=3326K) host star, these planets represent excellent candidates for atmospheric characterization with JWST.