Key Inclusion Criteria:

1. Males and females, >/= 18 years of age.

2. Diagnosis of cold induced urticaria or symptomatic dermographism >/= 3 months.

3. Diagnosis of cold induced urticaria or symptomatic dermographism despite the use of a stable regimen of second generation non-sedating H1-antihistamine as defined by:

   1. The presence of hives for >/= 6 weeks at any time prior to Visit 1 despite the use of H1-antihistamines.
   2. Must be on a stable regimen of second generation non-sedating H1-antihistamine for >/= 4 weeks prior to study treatment.
   3. Cold induced urticaria: A Critical Threshold Temperature (CTT) of ≥ 10 °C and < 37 °C using the TempTest® and a numerical rating scale score of ≥ 3 for itch after the provocation test.
   4. Symptomatic dermographism: A Critical Friction Threshold (CFT) of ≥ 3 using the FricTest® and a numerical rating scale score of ≥ 3 for itch after the provocation test.

4. Cold induced urticaria: Positive ice-cube test resulting in hives at the provocation site during Screening

5. Normal blood counts and liver function tests.

6. Both males and females of child-bearing potential must agree to use highly effective contraceptives during the study and for 150 days after treatment.

7. Willing and able to complete a daily symptom electronic diary and comply with study visits.

8. Participants with and without prior biologic experience are eligible.

Key Exclusion Criteria:

1. Women who are pregnant or nursing.
2. Clearly defined cause for chronic urticaria.
3. Active, pruritic skin condition in addition to cold induced urticaria or symptomatic dermographism.
4. Medical condition that would cause additional risk or interfere with study procedures.
5. Known HIV, hepatitis B or hepatitis C infection.
6. Vaccination of a live vaccine within 2 months prior to study treatment (subjects must agree to avoid vaccination during the study). Inactivated vaccines are allowed such as seasonal influenza injection or COVID-19 vaccine.
7. History of anaphylaxis, unless due to cold exposure over a large part of the body (such as swimming in cold water).
8. Prior treatment with barzolvolimab

There are additional criteria that your study doctor will review with you to confirm you are eligible for the study.