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If it's just a few leaves, I wouldn't worry too much. Just remove them from the plant. I would, however, check the soil to make sure the plant isn't too dry, as browning of leaves are a good indication that it needs watering. If the browning continues, the plant may be developing a fungal issue (check for overly wet conditions and yellowing leaves as well). Neem oil is a good fungicide and will help if this is an issue.

Mature plants produce yellowish or reddish flowers that are sweetly scented, less than a half inch (1.25 cm) across, and clustered in conspicuous 12 in (30 cm) panicles.
The following article has good advice on Cordyline: https://www.gardeningknowhow.com/houseplants/ti-plant/growing-hawaiian-ti-plant-indoors.htm

Yes, Hawaiian Ti do well planted outdoors (grows best in zones 10-12 - Venice, FL is 9b but you should be fine) and grows up to 10 feet high with a spread of 3-4 feet.

For detailed information on the care of Hawaiian Ti outdoors, please visit the following link:
https://www.ctahr.hawaii.edu/oc/freepubs/pdf/of-33.pdf

Usually, you will begin to see sprouts within two to six weeks. Once your ti plant sprouts and you're ready for planting, this article will help with its care: https://www.gardeningknowhow.com/houseplants/ti-plant/growing-hawaiian-ti-plant-indoors.htm

You can safely trim back all stems to about 12 inches from the soil line.
New shoots will grow back from the cut line.
If the plant has multiple stems that need trimming.
Cut back all but 3 of the stems. Allow the trimmed areas to grow back before trimming back the remaining stems.
You can root the cut portions in a clear cup of water and propagate new Ti Tree plants!

https://www.gardeningknowhow.com/houseplants/ti-plant/growing-hawaiian-ti-plant-indoors.htm

Did you experience a bout of cold weather recently? Hawaiian Ti's can't tolerate temperatures below 50 F.

What kind of water do you use? Poor water quality could be suspect. Try switching your water to non-fluoridated or distilled water, as fluoride is mildly toxic to hawaiian ti plants.

I am also wondering about letting the soil dry out between waterings. In the midst of my research I was getting conflicting information. Many resources I found said to water enough to keep the surface soil evenly moist (not soggy). It's something to consider anyways. You may also want to consider fertilizing it if you haven't already.

For more information on growing hawaiian ti plants, please visit the following link:
https://www.gardeningknowhow.com/houseplants/ti-plant/growing-hawaiian-ti-plant-indoors.htm