This logo can be used on a white flag, as evidenced by this lapel pin showing it crossed with the national flag, sported by the communal chaplain (?) in several photos of this 2023 religious event. António Martins, 8 March 2025
Another flag with a variant of this logo was used in official capacity at least on 25 October 2023. It is a commemorative flag in pink background with the logo rim recolored as pink (a different shade) and underneath the communal motto "Contigo, siempre!" (meaning "With you, always!", spelled sic, without an "¡"), in casual handwritten style, the first word in teal, the second in yellow, and an underline swash in white (a total of 13 different colors in this flag, 4 of them being shades of pink!). I presume this is a commemorative design pertaining to breast cancer awareness, or to woman appreciation. António Martins, 8 March 2025 Source:https://www.flickr.com/photos/195585810@N07/albums/72177720312201962/
A different logo shows bold serifless black lettering "La Florida," with letter "o" replaced with an iconic green shamrock and both letters "a" offset upwards, and underneath, offset to the right, the motto "somos más," in much smaller capitals. This is used on a white 2:3 flag, as in this March 2025 photo of an official event.
At https://logos.fandom.com/wiki/La_Florida, this logo is presented as being the new official logo, "2024–present," implying that the colorful shamrock was replaced by this one very recently. That may be so, and it would explain the graphic picked to be the user icon of the official communal Flickr account, containing a variation of this logo.
However, both logos seem to be in concurrent use — see this vest and ID badge and this booth backdrop, both with the old logo, but, on the same day, also this stage backdrop with the old one, not to mention both logos in this booth decoration. Maybe this is due to non immediate replacement of logo-bearing fittings, or maybe these two logos represent two separate entities.
This logo exists also in several color variants, representing separate sections of the same entity, as seen at https://www.fomentolf.cl/ (at the bottom of the page; no hash anchor because of course not). The color of the shamrock varies, as does the small-letter text: